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Finding the Fourth Proportional to 673.78, 1,009.04 and 456.70

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Solution

The fourth proportional to 673.78, 1,009.04 and 456.70 is: 683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.78 : 1,009.04 = 456.70 : x
  2. Step 2: Convert to fraction form
    673.78/1,009.04 = 456.70/x
  3. Step 3: Cross multiply
    673.78x = 1,009.04 × 456.70
  4. Step 4: Simplify right side
    673.78x = 460,823.52
  5. Step 5: Solve for x
    x = 460,823.52/673.78
  6. Step 6: Final answer
    x = 683.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.